Question
Each limit represents the derivative of some function $f$ at some number $a$. State such an $f$ and $a$ in each case.$\lim _{x \rightarrow \pi / 4} \frac{\tan x-1}{x-\pi / 4}$
Step 1
The limit given is in the form of the definition of the derivative: \[ \lim_{x \to a} \frac{f(x) - f(a)}{x - a} \] This represents the derivative of the function \( f(x) \) at the point \( x = a \). Show more…
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